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Simplifying 5(2x + 4) = -7(x + 3) Reorder the terms: 5(4 + 2x) = -7(x + 3) (4 * 5 + 2x * 5) = -7(x + 3) (20 + 10x) = -7(x + 3) Reorder the terms: 20 + 10x = -7(3 + x) 20 + 10x = (3 * -7 + x * -7) 20 + 10x = (-21 + -7x) Solving 20 + 10x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + 10x + 7x = -21 + -7x + 7x Combine like terms: 10x + 7x = 17x 20 + 17x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 17x = -21 + 0 20 + 17x = -21 Add '-20' to each side of the equation. 20 + -20 + 17x = -21 + -20 Combine like terms: 20 + -20 = 0 0 + 17x = -21 + -20 17x = -21 + -20 Combine like terms: -21 + -20 = -41 17x = -41 Divide each side by '17'. x = -2.411764706 Simplifying x = -2.411764706
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